In response to a push by rank and file Republicans to prevent children of illegal immigrants from being granted citizenship, GOP leaders are pressing for official hearings on changing the 14th Amendment to the Constitution. Feingold chairs the Judiciary Subcommittee on the Constitution, where those hearings would be held and the process of amending the Constitution would likely begin.
These political theatrics are mostly designed to fire up the GOP base. After all, any proposed Constitutional amendment would require the support of a two-thirds majority in both the House and Senate, and would then need to be approved by three-fourths of all state legislatures.
But if they were hoping they'd be offered a more prominent platform to highlight this issue, looks like they're out of luck.